Do you know of any animal species (aside from human) where females would fight for males, and not the ususal other way around? I cannot think of any example. I heard female hyenas are much bigger, more masculine, have more testosterone, but even those: would those females fight with each other to mate with a male?

Interesting question. I don't think any female mammals fight over a male. Chickens might. They have a pecking order and fight to be the top of that, but I am not sure whether the top hen is always the cockerels favourite. We seem to be about the only species where females get jealous of other females stealing their male. Very odd!

I once heard a theory, sorry can't recall the source, that because females must spend much more of their resources in producing young,they are simply waiting until the male who proves fittest via fighting or dominating other males, proves himself. Females are less available less often for procreation due to time spent gestating and nursing. (mammals being discussed here) Many animal females will not mate unless they come into heat. Some males come into rut, but many are willing and able to mate all the time, while unable to do so unless they can find a female in heat. Since she gives off pheromones at that time, many males will come to her, thus they fight. Also testosterones make one testy, ha ha, and thus more aggressive in general, more ready to fight for the right to mate.

Oh and female dogs are more likely to fight over territory, home, and family. When they are in heat, there are seldom any shortages of willing males coming around. Except of course for pets that are confined...still outside males will often prowl looking for a way or time to get to her.

I don't think so because as Wallyanna described, they must spend their time and energy on reproduction. A dominant male could copulate with several females, but a female would only copulate once to become pregnant (there are many exceptions to this, but you see my point?), so fighting for more than one male is unlikely. Even if several females were to vie for a single male, what's to stop him from copulating with them all? The only thing I thought of was polygyny and how this system has competition for females, but does polyandry necessarily mean the opposite? I don't think so.